Statistics teaching at the high school level needs modernizing to include digital sources of data that students interact with every day. Algorithmic modeling approaches are recommended, as they can support the teaching of data science and computational thinking. Research is needed about the design of tasks that support high school statistics…

A critical part of supporting the development of students' algorithmic thinking is understanding the challenges that emerge when students engage with algorithmatizing tasks--tasks that require the creation of an algorithm. Knowledge of these challenges can serve as a basis upon which educators can build effective strategies for enhancing students'…

In this paper, we explore student solutions to a free response mathematical assessment task which had opportunities for students to notice structural properties in the context of number systems. In total, 308 students aged between 10 years to 13 years participated in the study. Their responses were analysed to determine whether they noticed…

This study explores learner engagement with Advanced Computational Thinking (ACT) in the New Zealand digital curriculum. "Advanced" in ACT refers to an expansive, transdisciplinary, and future-looking understanding of computational thinking (CT). ACT promotes CT beyond narrow modes of problem-solving (abstraction, algorithmic thinking,…

Key to developing equitable mathematics classrooms is educators making explicit connections to and building on the cultural, social, and linguistic contexts of diverse learners. The project "Weaving our knowledge together" focused on recognising and recording the mathematical funds of knowledge of young Pacific students, sharing this…

This paper uses the commognitive framework to analyse how a group of four primary school students classify odd and even numbers. The findings show how students' reasoning is grounded in their personal uses of "odd" and "even". The students attend to different features of "oddness" and "evenness" and agree on…

This article focuses on the 2019 National Monitoring Study of Student Achievement (NMSSA) assessment of student ability in writing. It begins with an overview of the study and its results, then turns to students' use of planning strategies to support their writing. Drawing on research on the association between planning and achievement in writing,…

The purpose of this paper is to present a specific case of CALL task design adopting the patterns-based learning design approach. The approach provides a common framework/vocabulary for educational designers, particularly teachers, to systematically capture, articulate, make explicit, share and reuse expert knowledge of teaching and good design.…

Three mathematics education researchers discuss their findings on the use of diagrams in math instruction for English language learners. The authors show how diagrams can help students who are English learners better develop mathematical thinking and communicate their mathematical understanding.

This article provides information to educational leaders about how to address the challenge of supporting students who are emergent multilingual--i.e., those identified as English Learners (ELs) by their schools--in middle grades mathematics classes. The ideas in this article draw on research and collaborations with hundreds of teachers across the…

East (2014) presented a largely qualitative study that uncovered how beginning teachers of languages other than English developed their understandings about task-based language teaching (TBLT) as they took part in a year-long initial teacher education programme in New Zealand. This paper reports a comparative re-production. It complements a recent…

There is growing interest in using comparative judgement to assess student work as an alternative to traditional marking. Comparative judgement requires no rubrics and is instead grounded in experts making pairwise judgements about the relative 'quality' of students' work according to a high level criterion. The resulting decision data are fitted…

The present investigation focuses on first language (L1) and second language (L2) speakers' sensitivity to lexical fixedness and compositionality of Italian word combinations. Two studies explored language users' intuitions about three types of word combinations: free combinations, collocations, and idioms. In Study 1, Italian Verb+Noun…

Mathematics can be viewed as complex structures comprising intricate and profoundly useful webs of relationships. Students can experience mathematics in this way when working on mathematical tasks such as problem-solving, modelling, investigations or problem posing. Yet these kinds of tasks are seldom implemented in many upper-secondary and…

This study examined the validity of data collected from a novel online story retell task. The task was specifically designed for use by junior school teachers with the support of speech-language therapists or literacy specialists. The assessment task was developed to monitor children's oral language progress in their first year at school as part…